The best type of cell for this is lead acid based. They can take a continuous trickle charge, so can be coupled to a Solar Panel easily, and are very durable. They tend to be heavy, which is really behind why people don't like them in tools etc. In a static application they're unbeatable, hence why most Solar systems tend to use them.
An alternative would be NiCd, which is better than NiMH in this kind of application.
Lead Acid batteries are available in 6V and 12V varieties, so pick whichever suits you best.
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